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Finding the Fourth Proportional to 320.02, 477 and 296.66

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Solution

The fourth proportional to 320.02, 477 and 296.66 is: 442.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.02 : 477 = 296.66 : x
  2. Step 2: Convert to fraction form
    320.02/477 = 296.66/x
  3. Step 3: Cross multiply
    320.02x = 477 × 296.66
  4. Step 4: Simplify right side
    320.02x = 141,508.01
  5. Step 5: Solve for x
    x = 141,508.01/320.02
  6. Step 6: Final answer
    x = 442.19

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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.