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Finding the Fourth Proportional to 390.40, 537.56 and 337.86

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Solution

The fourth proportional to 390.40, 537.56 and 337.86 is: 465.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.40 : 537.56 = 337.86 : x
  2. Step 2: Convert to fraction form
    390.40/537.56 = 337.86/x
  3. Step 3: Cross multiply
    390.40x = 537.56 × 337.86
  4. Step 4: Simplify right side
    390.40x = 181,620.02
  5. Step 5: Solve for x
    x = 181,620.02/390.40
  6. Step 6: Final answer
    x = 465.22

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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.