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Finding the Fourth Proportional to 303.02, 416.05 and 256.20

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Solution

The fourth proportional to 303.02, 416.05 and 256.20 is: 351.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.02 : 416.05 = 256.20 : x
  2. Step 2: Convert to fraction form
    303.02/416.05 = 256.20/x
  3. Step 3: Cross multiply
    303.02x = 416.05 × 256.20
  4. Step 4: Simplify right side
    303.02x = 106,592.01
  5. Step 5: Solve for x
    x = 106,592.01/303.02
  6. Step 6: Final answer
    x = 351.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.