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Finding the Fourth Proportional to 261.68, 393.08 and 159.01

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Solution

The fourth proportional to 261.68, 393.08 and 159.01 is: 238.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.68 : 393.08 = 159.01 : x
  2. Step 2: Convert to fraction form
    261.68/393.08 = 159.01/x
  3. Step 3: Cross multiply
    261.68x = 393.08 × 159.01
  4. Step 4: Simplify right side
    261.68x = 62,502.86
  5. Step 5: Solve for x
    x = 62,502.86/261.68
  6. Step 6: Final answer
    x = 238.85

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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.