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Finding the Fourth Proportional to 616.37, 924.45 and 269.64

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Solution

The fourth proportional to 616.37, 924.45 and 269.64 is: 404.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.37 : 924.45 = 269.64 : x
  2. Step 2: Convert to fraction form
    616.37/924.45 = 269.64/x
  3. Step 3: Cross multiply
    616.37x = 924.45 × 269.64
  4. Step 4: Simplify right side
    616.37x = 249,264.08
  5. Step 5: Solve for x
    x = 249,264.08/616.37
  6. Step 6: Final answer
    x = 404.41

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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.