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Finding the Fourth Proportional to 357.01, 492.69 and 240.64

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Solution

The fourth proportional to 357.01, 492.69 and 240.64 is: 332.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.01 : 492.69 = 240.64 : x
  2. Step 2: Convert to fraction form
    357.01/492.69 = 240.64/x
  3. Step 3: Cross multiply
    357.01x = 492.69 × 240.64
  4. Step 4: Simplify right side
    357.01x = 118,560.92
  5. Step 5: Solve for x
    x = 118,560.92/357.01
  6. Step 6: Final answer
    x = 332.09

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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.