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Finding the Fourth Proportional to 652.10, 978.15 and 267.35

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Solution

The fourth proportional to 652.10, 978.15 and 267.35 is: 401.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.10 : 978.15 = 267.35 : x
  2. Step 2: Convert to fraction form
    652.10/978.15 = 267.35/x
  3. Step 3: Cross multiply
    652.10x = 978.15 × 267.35
  4. Step 4: Simplify right side
    652.10x = 261,508.40
  5. Step 5: Solve for x
    x = 261,508.40/652.10
  6. Step 6: Final answer
    x = 401.03

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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.