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Finding the Fourth Proportional to 320.17, 478.95 and 242.56

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Solution

The fourth proportional to 320.17, 478.95 and 242.56 is: 362.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.17 : 478.95 = 242.56 : x
  2. Step 2: Convert to fraction form
    320.17/478.95 = 242.56/x
  3. Step 3: Cross multiply
    320.17x = 478.95 × 242.56
  4. Step 4: Simplify right side
    320.17x = 116,174.11
  5. Step 5: Solve for x
    x = 116,174.11/320.17
  6. Step 6: Final answer
    x = 362.85

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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.