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Finding the Fourth Proportional to 280.02, 422.16 and 265.14

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Solution

The fourth proportional to 280.02, 422.16 and 265.14 is: 399.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.02 : 422.16 = 265.14 : x
  2. Step 2: Convert to fraction form
    280.02/422.16 = 265.14/x
  3. Step 3: Cross multiply
    280.02x = 422.16 × 265.14
  4. Step 4: Simplify right side
    280.02x = 111,931.50
  5. Step 5: Solve for x
    x = 111,931.50/280.02
  6. Step 6: Final answer
    x = 399.73

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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.