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Finding the Fourth Proportional to 242.19, 332.91 and 217.08

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Solution

The fourth proportional to 242.19, 332.91 and 217.08 is: 298.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.19 : 332.91 = 217.08 : x
  2. Step 2: Convert to fraction form
    242.19/332.91 = 217.08/x
  3. Step 3: Cross multiply
    242.19x = 332.91 × 217.08
  4. Step 4: Simplify right side
    242.19x = 72,268.10
  5. Step 5: Solve for x
    x = 72,268.10/242.19
  6. Step 6: Final answer
    x = 298.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.