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Finding the Fourth Proportional to 374.06, 563.44 and 340.04

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Solution

The fourth proportional to 374.06, 563.44 and 340.04 is: 512.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.06 : 563.44 = 340.04 : x
  2. Step 2: Convert to fraction form
    374.06/563.44 = 340.04/x
  3. Step 3: Cross multiply
    374.06x = 563.44 × 340.04
  4. Step 4: Simplify right side
    374.06x = 191,592.14
  5. Step 5: Solve for x
    x = 191,592.14/374.06
  6. Step 6: Final answer
    x = 512.20

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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.