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Finding the Fourth Proportional to 435.78, 601.65 and 278.55

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Solution

The fourth proportional to 435.78, 601.65 and 278.55 is: 384.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.78 : 601.65 = 278.55 : x
  2. Step 2: Convert to fraction form
    435.78/601.65 = 278.55/x
  3. Step 3: Cross multiply
    435.78x = 601.65 × 278.55
  4. Step 4: Simplify right side
    435.78x = 167,589.61
  5. Step 5: Solve for x
    x = 167,589.61/435.78
  6. Step 6: Final answer
    x = 384.57

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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.