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Finding the Fourth Proportional to 374.06, 559.90 and 282.94

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Solution

The fourth proportional to 374.06, 559.90 and 282.94 is: 423.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.06 : 559.90 = 282.94 : x
  2. Step 2: Convert to fraction form
    374.06/559.90 = 282.94/x
  3. Step 3: Cross multiply
    374.06x = 559.90 × 282.94
  4. Step 4: Simplify right side
    374.06x = 158,417.41
  5. Step 5: Solve for x
    x = 158,417.41/374.06
  6. Step 6: Final answer
    x = 423.51

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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.