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Finding the Fourth Proportional to 390.13, 537.24 and 337.60

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Solution

The fourth proportional to 390.13, 537.24 and 337.60 is: 464.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.13 : 537.24 = 337.60 : x
  2. Step 2: Convert to fraction form
    390.13/537.24 = 337.60/x
  3. Step 3: Cross multiply
    390.13x = 537.24 × 337.60
  4. Step 4: Simplify right side
    390.13x = 181,372.22
  5. Step 5: Solve for x
    x = 181,372.22/390.13
  6. Step 6: Final answer
    x = 464.90

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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.