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Finding the Fourth Proportional to 430.54, 593.18 and 282.91

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Solution

The fourth proportional to 430.54, 593.18 and 282.91 is: 389.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.54 : 593.18 = 282.91 : x
  2. Step 2: Convert to fraction form
    430.54/593.18 = 282.91/x
  3. Step 3: Cross multiply
    430.54x = 593.18 × 282.91
  4. Step 4: Simplify right side
    430.54x = 167,816.55
  5. Step 5: Solve for x
    x = 167,816.55/430.54
  6. Step 6: Final answer
    x = 389.78

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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.