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Finding the Fourth Proportional to 286.95, 430.43 and 70.53

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Solution

The fourth proportional to 286.95, 430.43 and 70.53 is: 105.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.95 : 430.43 = 70.53 : x
  2. Step 2: Convert to fraction form
    286.95/430.43 = 70.53/x
  3. Step 3: Cross multiply
    286.95x = 430.43 × 70.53
  4. Step 4: Simplify right side
    286.95x = 30,359.30
  5. Step 5: Solve for x
    x = 30,359.30/286.95
  6. Step 6: Final answer
    x = 105.80

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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.