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Finding the Fourth Proportional to 30.84, 42.48 and 22.65

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Solution

The fourth proportional to 30.84, 42.48 and 22.65 is: 31.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.84 : 42.48 = 22.65 : x
  2. Step 2: Convert to fraction form
    30.84/42.48 = 22.65/x
  3. Step 3: Cross multiply
    30.84x = 42.48 × 22.65
  4. Step 4: Simplify right side
    30.84x = 962.17
  5. Step 5: Solve for x
    x = 962.17/30.84
  6. Step 6: Final answer
    x = 31.20

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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.