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Finding the Fourth Proportional to 259.15, 357.64 and 148.63

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Solution

The fourth proportional to 259.15, 357.64 and 148.63 is: 205.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.15 : 357.64 = 148.63 : x
  2. Step 2: Convert to fraction form
    259.15/357.64 = 148.63/x
  3. Step 3: Cross multiply
    259.15x = 357.64 × 148.63
  4. Step 4: Simplify right side
    259.15x = 53,156.03
  5. Step 5: Solve for x
    x = 53,156.03/259.15
  6. Step 6: Final answer
    x = 205.12

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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.