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Finding the Fourth Proportional to 288.89, 432.53 and 197.45

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Solution

The fourth proportional to 288.89, 432.53 and 197.45 is: 295.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.89 : 432.53 = 197.45 : x
  2. Step 2: Convert to fraction form
    288.89/432.53 = 197.45/x
  3. Step 3: Cross multiply
    288.89x = 432.53 × 197.45
  4. Step 4: Simplify right side
    288.89x = 85,402.06
  5. Step 5: Solve for x
    x = 85,402.06/288.89
  6. Step 6: Final answer
    x = 295.62

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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.