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Finding the Fourth Proportional to 285.08, 430.25 and 277.79

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Solution

The fourth proportional to 285.08, 430.25 and 277.79 is: 419.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.08 : 430.25 = 277.79 : x
  2. Step 2: Convert to fraction form
    285.08/430.25 = 277.79/x
  3. Step 3: Cross multiply
    285.08x = 430.25 × 277.79
  4. Step 4: Simplify right side
    285.08x = 119,515.61
  5. Step 5: Solve for x
    x = 119,515.61/285.08
  6. Step 6: Final answer
    x = 419.24

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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.