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Finding the Fourth Proportional to 346.70, 517.28 and 305.12

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Solution

The fourth proportional to 346.70, 517.28 and 305.12 is: 455.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.70 : 517.28 = 305.12 : x
  2. Step 2: Convert to fraction form
    346.70/517.28 = 305.12/x
  3. Step 3: Cross multiply
    346.70x = 517.28 × 305.12
  4. Step 4: Simplify right side
    346.70x = 157,832.47
  5. Step 5: Solve for x
    x = 157,832.47/346.70
  6. Step 6: Final answer
    x = 455.24

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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.