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Finding the Fourth Proportional to 346.71, 517.53 and 305.70

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Solution

The fourth proportional to 346.71, 517.53 and 305.70 is: 456.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.71 : 517.53 = 305.70 : x
  2. Step 2: Convert to fraction form
    346.71/517.53 = 305.70/x
  3. Step 3: Cross multiply
    346.71x = 517.53 × 305.70
  4. Step 4: Simplify right side
    346.71x = 158,208.92
  5. Step 5: Solve for x
    x = 158,208.92/346.71
  6. Step 6: Final answer
    x = 456.31

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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.