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Finding the Fourth Proportional to 429.80, 643.62 and 237.02

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Solution

The fourth proportional to 429.80, 643.62 and 237.02 is: 354.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.80 : 643.62 = 237.02 : x
  2. Step 2: Convert to fraction form
    429.80/643.62 = 237.02/x
  3. Step 3: Cross multiply
    429.80x = 643.62 × 237.02
  4. Step 4: Simplify right side
    429.80x = 152,550.81
  5. Step 5: Solve for x
    x = 152,550.81/429.80
  6. Step 6: Final answer
    x = 354.93

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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.