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Finding the Fourth Proportional to 353.66, 487.73 and 307.01

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Solution

The fourth proportional to 353.66, 487.73 and 307.01 is: 423.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.66 : 487.73 = 307.01 : x
  2. Step 2: Convert to fraction form
    353.66/487.73 = 307.01/x
  3. Step 3: Cross multiply
    353.66x = 487.73 × 307.01
  4. Step 4: Simplify right side
    353.66x = 149,734.01
  5. Step 5: Solve for x
    x = 149,734.01/353.66
  6. Step 6: Final answer
    x = 423.39

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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.