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Finding the Fourth Proportional to 261.64, 392.18 and 138.38

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Solution

The fourth proportional to 261.64, 392.18 and 138.38 is: 207.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.64 : 392.18 = 138.38 : x
  2. Step 2: Convert to fraction form
    261.64/392.18 = 138.38/x
  3. Step 3: Cross multiply
    261.64x = 392.18 × 138.38
  4. Step 4: Simplify right side
    261.64x = 54,271.19
  5. Step 5: Solve for x
    x = 54,271.19/261.64
  6. Step 6: Final answer
    x = 207.43

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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.