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Finding the Fourth Proportional to 261.65, 392.25 and 174.86

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Solution

The fourth proportional to 261.65, 392.25 and 174.86 is: 262.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.65 : 392.25 = 174.86 : x
  2. Step 2: Convert to fraction form
    261.65/392.25 = 174.86/x
  3. Step 3: Cross multiply
    261.65x = 392.25 × 174.86
  4. Step 4: Simplify right side
    261.65x = 68,588.84
  5. Step 5: Solve for x
    x = 68,588.84/261.65
  6. Step 6: Final answer
    x = 262.14

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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.