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Finding the Fourth Proportional to 261.30, 391.62 and 152.82

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Solution

The fourth proportional to 261.30, 391.62 and 152.82 is: 229.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.30 : 391.62 = 152.82 : x
  2. Step 2: Convert to fraction form
    261.30/391.62 = 152.82/x
  3. Step 3: Cross multiply
    261.30x = 391.62 × 152.82
  4. Step 4: Simplify right side
    261.30x = 59,847.37
  5. Step 5: Solve for x
    x = 59,847.37/261.30
  6. Step 6: Final answer
    x = 229.04

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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.