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Finding the Fourth Proportional to 27.02, 40.50 and 9.89

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Solution

The fourth proportional to 27.02, 40.50 and 9.89 is: 14.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.02 : 40.50 = 9.89 : x
  2. Step 2: Convert to fraction form
    27.02/40.50 = 9.89/x
  3. Step 3: Cross multiply
    27.02x = 40.50 × 9.89
  4. Step 4: Simplify right side
    27.02x = 400.34
  5. Step 5: Solve for x
    x = 400.34/27.02
  6. Step 6: Final answer
    x = 14.82

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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.