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Finding the Fourth Proportional to 434.80, 652.08 and 203.47

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Solution

The fourth proportional to 434.80, 652.08 and 203.47 is: 305.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.80 : 652.08 = 203.47 : x
  2. Step 2: Convert to fraction form
    434.80/652.08 = 203.47/x
  3. Step 3: Cross multiply
    434.80x = 652.08 × 203.47
  4. Step 4: Simplify right side
    434.80x = 132,678.72
  5. Step 5: Solve for x
    x = 132,678.72/434.80
  6. Step 6: Final answer
    x = 305.15

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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.