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Finding the Fourth Proportional to 312.01, 464.18 and 293.55

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Solution

The fourth proportional to 312.01, 464.18 and 293.55 is: 436.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.01 : 464.18 = 293.55 : x
  2. Step 2: Convert to fraction form
    312.01/464.18 = 293.55/x
  3. Step 3: Cross multiply
    312.01x = 464.18 × 293.55
  4. Step 4: Simplify right side
    312.01x = 136,260.77
  5. Step 5: Solve for x
    x = 136,260.77/312.01
  6. Step 6: Final answer
    x = 436.72

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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.