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Finding the Fourth Proportional to 353.66, 528.63 and 307.02

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Solution

The fourth proportional to 353.66, 528.63 and 307.02 is: 458.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.66 : 528.63 = 307.02 : x
  2. Step 2: Convert to fraction form
    353.66/528.63 = 307.02/x
  3. Step 3: Cross multiply
    353.66x = 528.63 × 307.02
  4. Step 4: Simplify right side
    353.66x = 162,298.30
  5. Step 5: Solve for x
    x = 162,298.30/353.66
  6. Step 6: Final answer
    x = 458.91

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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.