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Finding the Fourth Proportional to 307.70, 424.67 and 209.42

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Solution

The fourth proportional to 307.70, 424.67 and 209.42 is: 289.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.70 : 424.67 = 209.42 : x
  2. Step 2: Convert to fraction form
    307.70/424.67 = 209.42/x
  3. Step 3: Cross multiply
    307.70x = 424.67 × 209.42
  4. Step 4: Simplify right side
    307.70x = 88,931.22
  5. Step 5: Solve for x
    x = 88,931.22/307.70
  6. Step 6: Final answer
    x = 289.02

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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.