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Finding the Fourth Proportional to 414.19, 621.70 and 278.18

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Solution

The fourth proportional to 414.19, 621.70 and 278.18 is: 417.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.19 : 621.70 = 278.18 : x
  2. Step 2: Convert to fraction form
    414.19/621.70 = 278.18/x
  3. Step 3: Cross multiply
    414.19x = 621.70 × 278.18
  4. Step 4: Simplify right side
    414.19x = 172,944.51
  5. Step 5: Solve for x
    x = 172,944.51/414.19
  6. Step 6: Final answer
    x = 417.55

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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.