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Finding the Fourth Proportional to 286.95, 430.16 and 104.30

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Solution

The fourth proportional to 286.95, 430.16 and 104.30 is: 156.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.95 : 430.16 = 104.30 : x
  2. Step 2: Convert to fraction form
    286.95/430.16 = 104.30/x
  3. Step 3: Cross multiply
    286.95x = 430.16 × 104.30
  4. Step 4: Simplify right side
    286.95x = 44,865.41
  5. Step 5: Solve for x
    x = 44,865.41/286.95
  6. Step 6: Final answer
    x = 156.35

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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.