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Finding the Fourth Proportional to 440.09, 659.22 and 358.08

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Solution

The fourth proportional to 440.09, 659.22 and 358.08 is: 536.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.09 : 659.22 = 358.08 : x
  2. Step 2: Convert to fraction form
    440.09/659.22 = 358.08/x
  3. Step 3: Cross multiply
    440.09x = 659.22 × 358.08
  4. Step 4: Simplify right side
    440.09x = 236,053.50
  5. Step 5: Solve for x
    x = 236,053.50/440.09
  6. Step 6: Final answer
    x = 536.38

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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.