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Finding the Fourth Proportional to 430.12, 593.44 and 264.36

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Solution

The fourth proportional to 430.12, 593.44 and 264.36 is: 364.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.12 : 593.44 = 264.36 : x
  2. Step 2: Convert to fraction form
    430.12/593.44 = 264.36/x
  3. Step 3: Cross multiply
    430.12x = 593.44 × 264.36
  4. Step 4: Simplify right side
    430.12x = 156,881.80
  5. Step 5: Solve for x
    x = 156,881.80/430.12
  6. Step 6: Final answer
    x = 364.74

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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.