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Finding the Fourth Proportional to 294.20, 440.10 and 265.40

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Solution

The fourth proportional to 294.20, 440.10 and 265.40 is: 397.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.20 : 440.10 = 265.40 : x
  2. Step 2: Convert to fraction form
    294.20/440.10 = 265.40/x
  3. Step 3: Cross multiply
    294.20x = 440.10 × 265.40
  4. Step 4: Simplify right side
    294.20x = 116,802.54
  5. Step 5: Solve for x
    x = 116,802.54/294.20
  6. Step 6: Final answer
    x = 397.02

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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.