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Finding the Fourth Proportional to 222.71, 307.40 and 152.78

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Solution

The fourth proportional to 222.71, 307.40 and 152.78 is: 210.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.71 : 307.40 = 152.78 : x
  2. Step 2: Convert to fraction form
    222.71/307.40 = 152.78/x
  3. Step 3: Cross multiply
    222.71x = 307.40 × 152.78
  4. Step 4: Simplify right side
    222.71x = 46,962.27
  5. Step 5: Solve for x
    x = 46,962.27/222.71
  6. Step 6: Final answer
    x = 210.87

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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.