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Finding the Fourth Proportional to 407.79, 610.29 and 245.58

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Solution

The fourth proportional to 407.79, 610.29 and 245.58 is: 367.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.79 : 610.29 = 245.58 : x
  2. Step 2: Convert to fraction form
    407.79/610.29 = 245.58/x
  3. Step 3: Cross multiply
    407.79x = 610.29 × 245.58
  4. Step 4: Simplify right side
    407.79x = 149,877.16
  5. Step 5: Solve for x
    x = 149,877.16/407.79
  6. Step 6: Final answer
    x = 367.54

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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.