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Finding the Fourth Proportional to 357.36, 493.02 and 258.90

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Solution

The fourth proportional to 357.36, 493.02 and 258.90 is: 357.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.36 : 493.02 = 258.90 : x
  2. Step 2: Convert to fraction form
    357.36/493.02 = 258.90/x
  3. Step 3: Cross multiply
    357.36x = 493.02 × 258.90
  4. Step 4: Simplify right side
    357.36x = 127,642.88
  5. Step 5: Solve for x
    x = 127,642.88/357.36
  6. Step 6: Final answer
    x = 357.18

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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.