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Finding the Fourth Proportional to 288.69, 431.56 and 215.52

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Solution

The fourth proportional to 288.69, 431.56 and 215.52 is: 322.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.69 : 431.56 = 215.52 : x
  2. Step 2: Convert to fraction form
    288.69/431.56 = 215.52/x
  3. Step 3: Cross multiply
    288.69x = 431.56 × 215.52
  4. Step 4: Simplify right side
    288.69x = 93,009.27
  5. Step 5: Solve for x
    x = 93,009.27/288.69
  6. Step 6: Final answer
    x = 322.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.