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Finding the Fourth Proportional to 288.58, 432.15 and 180.04

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Solution

The fourth proportional to 288.58, 432.15 and 180.04 is: 269.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.58 : 432.15 = 180.04 : x
  2. Step 2: Convert to fraction form
    288.58/432.15 = 180.04/x
  3. Step 3: Cross multiply
    288.58x = 432.15 × 180.04
  4. Step 4: Simplify right side
    288.58x = 77,804.29
  5. Step 5: Solve for x
    x = 77,804.29/288.58
  6. Step 6: Final answer
    x = 269.61

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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.