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Finding the Fourth Proportional to 349.61, 524.49 and 247.10

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Solution

The fourth proportional to 349.61, 524.49 and 247.10 is: 370.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.61 : 524.49 = 247.10 : x
  2. Step 2: Convert to fraction form
    349.61/524.49 = 247.10/x
  3. Step 3: Cross multiply
    349.61x = 524.49 × 247.10
  4. Step 4: Simplify right side
    349.61x = 129,598.86
  5. Step 5: Solve for x
    x = 129,598.86/349.61
  6. Step 6: Final answer
    x = 370.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.