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Finding the Fourth Proportional to 526.90, 790.55 and 202.19

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Solution

The fourth proportional to 526.90, 790.55 and 202.19 is: 303.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.90 : 790.55 = 202.19 : x
  2. Step 2: Convert to fraction form
    526.90/790.55 = 202.19/x
  3. Step 3: Cross multiply
    526.90x = 790.55 × 202.19
  4. Step 4: Simplify right side
    526.90x = 159,843.79
  5. Step 5: Solve for x
    x = 159,843.79/526.90
  6. Step 6: Final answer
    x = 303.37

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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.