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Finding the Fourth Proportional to 312.77, 471.53 and 296.03

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Solution

The fourth proportional to 312.77, 471.53 and 296.03 is: 446.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.77 : 471.53 = 296.03 : x
  2. Step 2: Convert to fraction form
    312.77/471.53 = 296.03/x
  3. Step 3: Cross multiply
    312.77x = 471.53 × 296.03
  4. Step 4: Simplify right side
    312.77x = 139,588.94
  5. Step 5: Solve for x
    x = 139,588.94/312.77
  6. Step 6: Final answer
    x = 446.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.