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Finding the Fourth Proportional to 401.30, 602.13 and 257.30

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Solution

The fourth proportional to 401.30, 602.13 and 257.30 is: 386.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.30 : 602.13 = 257.30 : x
  2. Step 2: Convert to fraction form
    401.30/602.13 = 257.30/x
  3. Step 3: Cross multiply
    401.30x = 602.13 × 257.30
  4. Step 4: Simplify right side
    401.30x = 154,928.05
  5. Step 5: Solve for x
    x = 154,928.05/401.30
  6. Step 6: Final answer
    x = 386.07

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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.