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Finding the Fourth Proportional to 346.91, 517.35 and 295.88

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Solution

The fourth proportional to 346.91, 517.35 and 295.88 is: 441.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.91 : 517.35 = 295.88 : x
  2. Step 2: Convert to fraction form
    346.91/517.35 = 295.88/x
  3. Step 3: Cross multiply
    346.91x = 517.35 × 295.88
  4. Step 4: Simplify right side
    346.91x = 153,070.38
  5. Step 5: Solve for x
    x = 153,070.38/346.91
  6. Step 6: Final answer
    x = 441.25

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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.