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Finding the Fourth Proportional to 346.86, 517.47 and 337.46

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Solution

The fourth proportional to 346.86, 517.47 and 337.46 is: 503.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.86 : 517.47 = 337.46 : x
  2. Step 2: Convert to fraction form
    346.86/517.47 = 337.46/x
  3. Step 3: Cross multiply
    346.86x = 517.47 × 337.46
  4. Step 4: Simplify right side
    346.86x = 174,622.84
  5. Step 5: Solve for x
    x = 174,622.84/346.86
  6. Step 6: Final answer
    x = 503.44

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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.