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Finding the Fourth Proportional to 261.55, 392.32 and 78.94

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Solution

The fourth proportional to 261.55, 392.32 and 78.94 is: 118.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.55 : 392.32 = 78.94 : x
  2. Step 2: Convert to fraction form
    261.55/392.32 = 78.94/x
  3. Step 3: Cross multiply
    261.55x = 392.32 × 78.94
  4. Step 4: Simplify right side
    261.55x = 30,970.11
  5. Step 5: Solve for x
    x = 30,970.11/261.55
  6. Step 6: Final answer
    x = 118.41

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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.