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Finding the Fourth Proportional to 468.88, 701.70 and 306.16

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Solution

The fourth proportional to 468.88, 701.70 and 306.16 is: 458.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.88 : 701.70 = 306.16 : x
  2. Step 2: Convert to fraction form
    468.88/701.70 = 306.16/x
  3. Step 3: Cross multiply
    468.88x = 701.70 × 306.16
  4. Step 4: Simplify right side
    468.88x = 214,832.47
  5. Step 5: Solve for x
    x = 214,832.47/468.88
  6. Step 6: Final answer
    x = 458.18

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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.