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Finding the Fourth Proportional to 332.40, 497.60 and 202.00

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Solution

The fourth proportional to 332.40, 497.60 and 202.00 is: 302.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.40 : 497.60 = 202.00 : x
  2. Step 2: Convert to fraction form
    332.40/497.60 = 202.00/x
  3. Step 3: Cross multiply
    332.40x = 497.60 × 202.00
  4. Step 4: Simplify right side
    332.40x = 100,514.46
  5. Step 5: Solve for x
    x = 100,514.46/332.40
  6. Step 6: Final answer
    x = 302.39

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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.