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Finding the Fourth Proportional to 307.22, 458.78 and 291.42

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Solution

The fourth proportional to 307.22, 458.78 and 291.42 is: 435.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.22 : 458.78 = 291.42 : x
  2. Step 2: Convert to fraction form
    307.22/458.78 = 291.42/x
  3. Step 3: Cross multiply
    307.22x = 458.78 × 291.42
  4. Step 4: Simplify right side
    307.22x = 133,696.21
  5. Step 5: Solve for x
    x = 133,696.21/307.22
  6. Step 6: Final answer
    x = 435.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.