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Finding the Fourth Proportional to 152.76, 212.22 and 151.34

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Solution

The fourth proportional to 152.76, 212.22 and 151.34 is: 210.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.76 : 212.22 = 151.34 : x
  2. Step 2: Convert to fraction form
    152.76/212.22 = 151.34/x
  3. Step 3: Cross multiply
    152.76x = 212.22 × 151.34
  4. Step 4: Simplify right side
    152.76x = 32,116.31
  5. Step 5: Solve for x
    x = 32,116.31/152.76
  6. Step 6: Final answer
    x = 210.24

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.