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Finding the Fourth Proportional to 261.77, 392.31 and 184.14

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Solution

The fourth proportional to 261.77, 392.31 and 184.14 is: 275.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.77 : 392.31 = 184.14 : x
  2. Step 2: Convert to fraction form
    261.77/392.31 = 184.14/x
  3. Step 3: Cross multiply
    261.77x = 392.31 × 184.14
  4. Step 4: Simplify right side
    261.77x = 72,239.96
  5. Step 5: Solve for x
    x = 72,239.96/261.77
  6. Step 6: Final answer
    x = 275.97

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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.