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Finding the Fourth Proportional to 468.95, 702.35 and 306.23

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Solution

The fourth proportional to 468.95, 702.35 and 306.23 is: 458.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.95 : 702.35 = 306.23 : x
  2. Step 2: Convert to fraction form
    468.95/702.35 = 306.23/x
  3. Step 3: Cross multiply
    468.95x = 702.35 × 306.23
  4. Step 4: Simplify right side
    468.95x = 215,079.11
  5. Step 5: Solve for x
    x = 215,079.11/468.95
  6. Step 6: Final answer
    x = 458.64

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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.