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Finding the Fourth Proportional to 402.57, 554.45 and 340.20

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Solution

The fourth proportional to 402.57, 554.45 and 340.20 is: 468.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.57 : 554.45 = 340.20 : x
  2. Step 2: Convert to fraction form
    402.57/554.45 = 340.20/x
  3. Step 3: Cross multiply
    402.57x = 554.45 × 340.20
  4. Step 4: Simplify right side
    402.57x = 188,622.19
  5. Step 5: Solve for x
    x = 188,622.19/402.57
  6. Step 6: Final answer
    x = 468.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.