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Finding the Fourth Proportional to 316.72, 477.40 and 289.36

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Solution

The fourth proportional to 316.72, 477.40 and 289.36 is: 436.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.72 : 477.40 = 289.36 : x
  2. Step 2: Convert to fraction form
    316.72/477.40 = 289.36/x
  3. Step 3: Cross multiply
    316.72x = 477.40 × 289.36
  4. Step 4: Simplify right side
    316.72x = 138,140.46
  5. Step 5: Solve for x
    x = 138,140.46/316.72
  6. Step 6: Final answer
    x = 436.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.