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Finding the Fourth Proportional to 353.20, 526.70 and 310.06

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Solution

The fourth proportional to 353.20, 526.70 and 310.06 is: 462.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.20 : 526.70 = 310.06 : x
  2. Step 2: Convert to fraction form
    353.20/526.70 = 310.06/x
  3. Step 3: Cross multiply
    353.20x = 526.70 × 310.06
  4. Step 4: Simplify right side
    353.20x = 163,308.60
  5. Step 5: Solve for x
    x = 163,308.60/353.20
  6. Step 6: Final answer
    x = 462.37

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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.