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Finding the Fourth Proportional to 242.84, 362.72 and 215.96

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Solution

The fourth proportional to 242.84, 362.72 and 215.96 is: 322.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.84 : 362.72 = 215.96 : x
  2. Step 2: Convert to fraction form
    242.84/362.72 = 215.96/x
  3. Step 3: Cross multiply
    242.84x = 362.72 × 215.96
  4. Step 4: Simplify right side
    242.84x = 78,333.01
  5. Step 5: Solve for x
    x = 78,333.01/242.84
  6. Step 6: Final answer
    x = 322.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.