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Finding the Fourth Proportional to 526.58, 790.01 and 230.11

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Solution

The fourth proportional to 526.58, 790.01 and 230.11 is: 345.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.58 : 790.01 = 230.11 : x
  2. Step 2: Convert to fraction form
    526.58/790.01 = 230.11/x
  3. Step 3: Cross multiply
    526.58x = 790.01 × 230.11
  4. Step 4: Simplify right side
    526.58x = 181,791.75
  5. Step 5: Solve for x
    x = 181,791.75/526.58
  6. Step 6: Final answer
    x = 345.23

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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.