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Finding the Fourth Proportional to 460.32, 689.85 and 243.47

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Solution

The fourth proportional to 460.32, 689.85 and 243.47 is: 364.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.32 : 689.85 = 243.47 : x
  2. Step 2: Convert to fraction form
    460.32/689.85 = 243.47/x
  3. Step 3: Cross multiply
    460.32x = 689.85 × 243.47
  4. Step 4: Simplify right side
    460.32x = 167,956.66
  5. Step 5: Solve for x
    x = 167,956.66/460.32
  6. Step 6: Final answer
    x = 364.87

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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.