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Finding the Fourth Proportional to 346.96, 479.02 and 242.02

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Solution

The fourth proportional to 346.96, 479.02 and 242.02 is: 334.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.96 : 479.02 = 242.02 : x
  2. Step 2: Convert to fraction form
    346.96/479.02 = 242.02/x
  3. Step 3: Cross multiply
    346.96x = 479.02 × 242.02
  4. Step 4: Simplify right side
    346.96x = 115,932.42
  5. Step 5: Solve for x
    x = 115,932.42/346.96
  6. Step 6: Final answer
    x = 334.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.