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Finding the Fourth Proportional to 225.61, 311.51 and 152.10

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Solution

The fourth proportional to 225.61, 311.51 and 152.10 is: 210.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.61 : 311.51 = 152.10 : x
  2. Step 2: Convert to fraction form
    225.61/311.51 = 152.10/x
  3. Step 3: Cross multiply
    225.61x = 311.51 × 152.10
  4. Step 4: Simplify right side
    225.61x = 47,381.05
  5. Step 5: Solve for x
    x = 47,381.05/225.61
  6. Step 6: Final answer
    x = 210.02

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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.