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Finding the Fourth Proportional to 871.84, 1,307.74 and 222.58

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Solution

The fourth proportional to 871.84, 1,307.74 and 222.58 is: 333.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.84 : 1,307.74 = 222.58 : x
  2. Step 2: Convert to fraction form
    871.84/1,307.74 = 222.58/x
  3. Step 3: Cross multiply
    871.84x = 1,307.74 × 222.58
  4. Step 4: Simplify right side
    871.84x = 291,076.77
  5. Step 5: Solve for x
    x = 291,076.77/871.84
  6. Step 6: Final answer
    x = 333.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.