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Finding the Fourth Proportional to 261.96, 392.70 and 133.48

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Solution

The fourth proportional to 261.96, 392.70 and 133.48 is: 200.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.96 : 392.70 = 133.48 : x
  2. Step 2: Convert to fraction form
    261.96/392.70 = 133.48/x
  3. Step 3: Cross multiply
    261.96x = 392.70 × 133.48
  4. Step 4: Simplify right side
    261.96x = 52,417.60
  5. Step 5: Solve for x
    x = 52,417.60/261.96
  6. Step 6: Final answer
    x = 200.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.