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Finding the Fourth Proportional to 659.15, 988.50 and 226.21

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Solution

The fourth proportional to 659.15, 988.50 and 226.21 is: 339.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.15 : 988.50 = 226.21 : x
  2. Step 2: Convert to fraction form
    659.15/988.50 = 226.21/x
  3. Step 3: Cross multiply
    659.15x = 988.50 × 226.21
  4. Step 4: Simplify right side
    659.15x = 223,602.51
  5. Step 5: Solve for x
    x = 223,602.51/659.15
  6. Step 6: Final answer
    x = 339.23

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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.