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Finding the Fourth Proportional to 280.58, 420.98 and 118.37

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Solution

The fourth proportional to 280.58, 420.98 and 118.37 is: 177.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.58 : 420.98 = 118.37 : x
  2. Step 2: Convert to fraction form
    280.58/420.98 = 118.37/x
  3. Step 3: Cross multiply
    280.58x = 420.98 × 118.37
  4. Step 4: Simplify right side
    280.58x = 49,828.71
  5. Step 5: Solve for x
    x = 49,828.71/280.58
  6. Step 6: Final answer
    x = 177.59

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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.