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Finding the Fourth Proportional to 259.41, 357.93 and 148.87

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Solution

The fourth proportional to 259.41, 357.93 and 148.87 is: 205.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.41 : 357.93 = 148.87 : x
  2. Step 2: Convert to fraction form
    259.41/357.93 = 148.87/x
  3. Step 3: Cross multiply
    259.41x = 357.93 × 148.87
  4. Step 4: Simplify right side
    259.41x = 53,284.14
  5. Step 5: Solve for x
    x = 53,284.14/259.41
  6. Step 6: Final answer
    x = 205.41

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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.