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Finding the Fourth Proportional to 370.97, 508.23 and 357.13

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Solution

The fourth proportional to 370.97, 508.23 and 357.13 is: 489.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.97 : 508.23 = 357.13 : x
  2. Step 2: Convert to fraction form
    370.97/508.23 = 357.13/x
  3. Step 3: Cross multiply
    370.97x = 508.23 × 357.13
  4. Step 4: Simplify right side
    370.97x = 181,502.91
  5. Step 5: Solve for x
    x = 181,502.91/370.97
  6. Step 6: Final answer
    x = 489.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.