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Finding the Fourth Proportional to 316.34, 474.65 and 289.48

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Solution

The fourth proportional to 316.34, 474.65 and 289.48 is: 434.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.34 : 474.65 = 289.48 : x
  2. Step 2: Convert to fraction form
    316.34/474.65 = 289.48/x
  3. Step 3: Cross multiply
    316.34x = 474.65 × 289.48
  4. Step 4: Simplify right side
    316.34x = 137,397.86
  5. Step 5: Solve for x
    x = 137,397.86/316.34
  6. Step 6: Final answer
    x = 434.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.