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Finding the Fourth Proportional to 285.33, 430.61 and 278.04

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Solution

The fourth proportional to 285.33, 430.61 and 278.04 is: 419.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.33 : 430.61 = 278.04 : x
  2. Step 2: Convert to fraction form
    285.33/430.61 = 278.04/x
  3. Step 3: Cross multiply
    285.33x = 430.61 × 278.04
  4. Step 4: Simplify right side
    285.33x = 119,726.80
  5. Step 5: Solve for x
    x = 119,726.80/285.33
  6. Step 6: Final answer
    x = 419.61

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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.