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Finding the Fourth Proportional to 430.76, 595.30 and 361.64

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Solution

The fourth proportional to 430.76, 595.30 and 361.64 is: 499.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.76 : 595.30 = 361.64 : x
  2. Step 2: Convert to fraction form
    430.76/595.30 = 361.64/x
  3. Step 3: Cross multiply
    430.76x = 595.30 × 361.64
  4. Step 4: Simplify right side
    430.76x = 215,284.29
  5. Step 5: Solve for x
    x = 215,284.29/430.76
  6. Step 6: Final answer
    x = 499.78

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Find fourth proportional to 215.38, 297.65 and 180.82
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.