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Finding the Fourth Proportional to 243.84, 366.12 and 152.40

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Solution

The fourth proportional to 243.84, 366.12 and 152.40 is: 228.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.84 : 366.12 = 152.40 : x
  2. Step 2: Convert to fraction form
    243.84/366.12 = 152.40/x
  3. Step 3: Cross multiply
    243.84x = 366.12 × 152.40
  4. Step 4: Simplify right side
    243.84x = 55,796.69
  5. Step 5: Solve for x
    x = 55,796.69/243.84
  6. Step 6: Final answer
    x = 228.83

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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.