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Finding the Fourth Proportional to 288.15, 432.39 and 105.53

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Solution

The fourth proportional to 288.15, 432.39 and 105.53 is: 158.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.15 : 432.39 = 105.53 : x
  2. Step 2: Convert to fraction form
    288.15/432.39 = 105.53/x
  3. Step 3: Cross multiply
    288.15x = 432.39 × 105.53
  4. Step 4: Simplify right side
    288.15x = 45,628.35
  5. Step 5: Solve for x
    x = 45,628.35/288.15
  6. Step 6: Final answer
    x = 158.35

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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.