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Finding the Fourth Proportional to 357.85, 494.00 and 260.35

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Solution

The fourth proportional to 357.85, 494.00 and 260.35 is: 359.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.85 : 494.00 = 260.35 : x
  2. Step 2: Convert to fraction form
    357.85/494.00 = 260.35/x
  3. Step 3: Cross multiply
    357.85x = 494.00 × 260.35
  4. Step 4: Simplify right side
    357.85x = 128,611.34
  5. Step 5: Solve for x
    x = 128,611.34/357.85
  6. Step 6: Final answer
    x = 359.40

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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.