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Finding the Fourth Proportional to 873.39, 1,310.10 and 224.11

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Solution

The fourth proportional to 873.39, 1,310.10 and 224.11 is: 336.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.39 : 1,310.10 = 224.11 : x
  2. Step 2: Convert to fraction form
    873.39/1,310.10 = 224.11/x
  3. Step 3: Cross multiply
    873.39x = 1,310.10 × 224.11
  4. Step 4: Simplify right side
    873.39x = 293,598.84
  5. Step 5: Solve for x
    x = 293,598.84/873.39
  6. Step 6: Final answer
    x = 336.16

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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.