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Finding the Fourth Proportional to 317.79, 477.23 and 209.52

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Solution

The fourth proportional to 317.79, 477.23 and 209.52 is: 314.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.79 : 477.23 = 209.52 : x
  2. Step 2: Convert to fraction form
    317.79/477.23 = 209.52/x
  3. Step 3: Cross multiply
    317.79x = 477.23 × 209.52
  4. Step 4: Simplify right side
    317.79x = 99,988.18
  5. Step 5: Solve for x
    x = 99,988.18/317.79
  6. Step 6: Final answer
    x = 314.64

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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.