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Finding the Fourth Proportional to 304.02, 417.42 and 257.20

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Solution

The fourth proportional to 304.02, 417.42 and 257.20 is: 353.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.02 : 417.42 = 257.20 : x
  2. Step 2: Convert to fraction form
    304.02/417.42 = 257.20/x
  3. Step 3: Cross multiply
    304.02x = 417.42 × 257.20
  4. Step 4: Simplify right side
    304.02x = 107,360.42
  5. Step 5: Solve for x
    x = 107,360.42/304.02
  6. Step 6: Final answer
    x = 353.14

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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.