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Finding the Fourth Proportional to 527.13, 790.34 and 210.31

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Solution

The fourth proportional to 527.13, 790.34 and 210.31 is: 315.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.13 : 790.34 = 210.31 : x
  2. Step 2: Convert to fraction form
    527.13/790.34 = 210.31/x
  3. Step 3: Cross multiply
    527.13x = 790.34 × 210.31
  4. Step 4: Simplify right side
    527.13x = 166,216.56
  5. Step 5: Solve for x
    x = 166,216.56/527.13
  6. Step 6: Final answer
    x = 315.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.