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Finding the Fourth Proportional to 8.16, 11.25 and 5.25

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Solution

The fourth proportional to 8.16, 11.25 and 5.25 is: 7.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.16 : 11.25 = 5.25 : x
  2. Step 2: Convert to fraction form
    8.16/11.25 = 5.25/x
  3. Step 3: Cross multiply
    8.16x = 11.25 × 5.25
  4. Step 4: Simplify right side
    8.16x = 59.02
  5. Step 5: Solve for x
    x = 59.02/8.16
  6. Step 6: Final answer
    x = 7.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.