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Finding the Fourth Proportional to 332.53, 496.33 and 312.01

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Solution

The fourth proportional to 332.53, 496.33 and 312.01 is: 465.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.53 : 496.33 = 312.01 : x
  2. Step 2: Convert to fraction form
    332.53/496.33 = 312.01/x
  3. Step 3: Cross multiply
    332.53x = 496.33 × 312.01
  4. Step 4: Simplify right side
    332.53x = 154,859.92
  5. Step 5: Solve for x
    x = 154,859.92/332.53
  6. Step 6: Final answer
    x = 465.70

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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.