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Finding the Fourth Proportional to 340.61, 508.14 and 315.80

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Solution

The fourth proportional to 340.61, 508.14 and 315.80 is: 471.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.61 : 508.14 = 315.80 : x
  2. Step 2: Convert to fraction form
    340.61/508.14 = 315.80/x
  3. Step 3: Cross multiply
    340.61x = 508.14 × 315.80
  4. Step 4: Simplify right side
    340.61x = 160,468.07
  5. Step 5: Solve for x
    x = 160,468.07/340.61
  6. Step 6: Final answer
    x = 471.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.