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Finding the Fourth Proportional to 423.06, 583.66 and 257.16

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Solution

The fourth proportional to 423.06, 583.66 and 257.16 is: 354.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.06 : 583.66 = 257.16 : x
  2. Step 2: Convert to fraction form
    423.06/583.66 = 257.16/x
  3. Step 3: Cross multiply
    423.06x = 583.66 × 257.16
  4. Step 4: Simplify right side
    423.06x = 150,094.01
  5. Step 5: Solve for x
    x = 150,094.01/423.06
  6. Step 6: Final answer
    x = 354.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.