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Finding the Fourth Proportional to 265.64, 398.46 and 103.40

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Solution

The fourth proportional to 265.64, 398.46 and 103.40 is: 155.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.64 : 398.46 = 103.40 : x
  2. Step 2: Convert to fraction form
    265.64/398.46 = 103.40/x
  3. Step 3: Cross multiply
    265.64x = 398.46 × 103.40
  4. Step 4: Simplify right side
    265.64x = 41,200.76
  5. Step 5: Solve for x
    x = 41,200.76/265.64
  6. Step 6: Final answer
    x = 155.10

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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.