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Finding the Fourth Proportional to 261.84, 392.40 and 165.48

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Solution

The fourth proportional to 261.84, 392.40 and 165.48 is: 247.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.84 : 392.40 = 165.48 : x
  2. Step 2: Convert to fraction form
    261.84/392.40 = 165.48/x
  3. Step 3: Cross multiply
    261.84x = 392.40 × 165.48
  4. Step 4: Simplify right side
    261.84x = 64,934.35
  5. Step 5: Solve for x
    x = 64,934.35/261.84
  6. Step 6: Final answer
    x = 247.99

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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.