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Finding the Fourth Proportional to 468.61, 702.95 and 180.05

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Solution

The fourth proportional to 468.61, 702.95 and 180.05 is: 270.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.61 : 702.95 = 180.05 : x
  2. Step 2: Convert to fraction form
    468.61/702.95 = 180.05/x
  3. Step 3: Cross multiply
    468.61x = 702.95 × 180.05
  4. Step 4: Simplify right side
    468.61x = 126,565.04
  5. Step 5: Solve for x
    x = 126,565.04/468.61
  6. Step 6: Final answer
    x = 270.09

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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.