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Finding the Fourth Proportional to 346.65, 517.42 and 306.11

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Solution

The fourth proportional to 346.65, 517.42 and 306.11 is: 456.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.65 : 517.42 = 306.11 : x
  2. Step 2: Convert to fraction form
    346.65/517.42 = 306.11/x
  3. Step 3: Cross multiply
    346.65x = 517.42 × 306.11
  4. Step 4: Simplify right side
    346.65x = 158,389.11
  5. Step 5: Solve for x
    x = 158,389.11/346.65
  6. Step 6: Final answer
    x = 456.92

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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.