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Finding the Fourth Proportional to 287.69, 429.03 and 264.06

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Solution

The fourth proportional to 287.69, 429.03 and 264.06 is: 393.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.69 : 429.03 = 264.06 : x
  2. Step 2: Convert to fraction form
    287.69/429.03 = 264.06/x
  3. Step 3: Cross multiply
    287.69x = 429.03 × 264.06
  4. Step 4: Simplify right side
    287.69x = 113,289.66
  5. Step 5: Solve for x
    x = 113,289.66/287.69
  6. Step 6: Final answer
    x = 393.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.