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Finding the Fourth Proportional to 261.72, 392.07 and 207.45

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Solution

The fourth proportional to 261.72, 392.07 and 207.45 is: 310.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.72 : 392.07 = 207.45 : x
  2. Step 2: Convert to fraction form
    261.72/392.07 = 207.45/x
  3. Step 3: Cross multiply
    261.72x = 392.07 × 207.45
  4. Step 4: Simplify right side
    261.72x = 81,334.92
  5. Step 5: Solve for x
    x = 81,334.92/261.72
  6. Step 6: Final answer
    x = 310.77

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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.