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Finding the Fourth Proportional to 353.06, 526.48 and 311.75

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Solution

The fourth proportional to 353.06, 526.48 and 311.75 is: 464.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.06 : 526.48 = 311.75 : x
  2. Step 2: Convert to fraction form
    353.06/526.48 = 311.75/x
  3. Step 3: Cross multiply
    353.06x = 526.48 × 311.75
  4. Step 4: Simplify right side
    353.06x = 164,130.14
  5. Step 5: Solve for x
    x = 164,130.14/353.06
  6. Step 6: Final answer
    x = 464.88

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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.