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Finding the Fourth Proportional to 440.80, 661.08 and 152.08

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Solution

The fourth proportional to 440.80, 661.08 and 152.08 is: 228.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.80 : 661.08 = 152.08 : x
  2. Step 2: Convert to fraction form
    440.80/661.08 = 152.08/x
  3. Step 3: Cross multiply
    440.80x = 661.08 × 152.08
  4. Step 4: Simplify right side
    440.80x = 100,537.05
  5. Step 5: Solve for x
    x = 100,537.05/440.80
  6. Step 6: Final answer
    x = 228.08

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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.