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Finding the Fourth Proportional to 653.47, 979.31 and 242.21

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Solution

The fourth proportional to 653.47, 979.31 and 242.21 is: 362.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.47 : 979.31 = 242.21 : x
  2. Step 2: Convert to fraction form
    653.47/979.31 = 242.21/x
  3. Step 3: Cross multiply
    653.47x = 979.31 × 242.21
  4. Step 4: Simplify right side
    653.47x = 237,194.86
  5. Step 5: Solve for x
    x = 237,194.86/653.47
  6. Step 6: Final answer
    x = 362.98

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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.