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Finding the Fourth Proportional to 285.07, 429.72 and 266.25

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Solution

The fourth proportional to 285.07, 429.72 and 266.25 is: 401.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.07 : 429.72 = 266.25 : x
  2. Step 2: Convert to fraction form
    285.07/429.72 = 266.25/x
  3. Step 3: Cross multiply
    285.07x = 429.72 × 266.25
  4. Step 4: Simplify right side
    285.07x = 114,412.95
  5. Step 5: Solve for x
    x = 114,412.95/285.07
  6. Step 6: Final answer
    x = 401.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.