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Finding the Fourth Proportional to 463.55, 695.07 and 229.25

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Solution

The fourth proportional to 463.55, 695.07 and 229.25 is: 343.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.55 : 695.07 = 229.25 : x
  2. Step 2: Convert to fraction form
    463.55/695.07 = 229.25/x
  3. Step 3: Cross multiply
    463.55x = 695.07 × 229.25
  4. Step 4: Simplify right side
    463.55x = 159,341.32
  5. Step 5: Solve for x
    x = 159,341.32/463.55
  6. Step 6: Final answer
    x = 343.75

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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.