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Finding the Fourth Proportional to 278.59, 384.40 and 162.13

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Solution

The fourth proportional to 278.59, 384.40 and 162.13 is: 223.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.59 : 384.40 = 162.13 : x
  2. Step 2: Convert to fraction form
    278.59/384.40 = 162.13/x
  3. Step 3: Cross multiply
    278.59x = 384.40 × 162.13
  4. Step 4: Simplify right side
    278.59x = 62,322.77
  5. Step 5: Solve for x
    x = 62,322.77/278.59
  6. Step 6: Final answer
    x = 223.71

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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.