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Finding the Fourth Proportional to 288.30, 429.73 and 266.43

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Solution

The fourth proportional to 288.30, 429.73 and 266.43 is: 397.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.30 : 429.73 = 266.43 : x
  2. Step 2: Convert to fraction form
    288.30/429.73 = 266.43/x
  3. Step 3: Cross multiply
    288.30x = 429.73 × 266.43
  4. Step 4: Simplify right side
    288.30x = 114,492.96
  5. Step 5: Solve for x
    x = 114,492.96/288.30
  6. Step 6: Final answer
    x = 397.13

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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.