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Finding the Fourth Proportional to 456.86, 631.34 and 346.14

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Solution

The fourth proportional to 456.86, 631.34 and 346.14 is: 478.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.86 : 631.34 = 346.14 : x
  2. Step 2: Convert to fraction form
    456.86/631.34 = 346.14/x
  3. Step 3: Cross multiply
    456.86x = 631.34 × 346.14
  4. Step 4: Simplify right side
    456.86x = 218,532.03
  5. Step 5: Solve for x
    x = 218,532.03/456.86
  6. Step 6: Final answer
    x = 478.33

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.