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Finding the Fourth Proportional to 152.22, 210.02 and 90.04

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Solution

The fourth proportional to 152.22, 210.02 and 90.04 is: 124.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.22 : 210.02 = 90.04 : x
  2. Step 2: Convert to fraction form
    152.22/210.02 = 90.04/x
  3. Step 3: Cross multiply
    152.22x = 210.02 × 90.04
  4. Step 4: Simplify right side
    152.22x = 18,910.20
  5. Step 5: Solve for x
    x = 18,910.20/152.22
  6. Step 6: Final answer
    x = 124.23

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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.