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Finding the Fourth Proportional to 526.80, 790.44 and 218.88

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Solution

The fourth proportional to 526.80, 790.44 and 218.88 is: 328.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.80 : 790.44 = 218.88 : x
  2. Step 2: Convert to fraction form
    526.80/790.44 = 218.88/x
  3. Step 3: Cross multiply
    526.80x = 790.44 × 218.88
  4. Step 4: Simplify right side
    526.80x = 173,011.51
  5. Step 5: Solve for x
    x = 173,011.51/526.80
  6. Step 6: Final answer
    x = 328.42

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1.5x scale

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.