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Finding the Fourth Proportional to 259.36, 356.87 and 253.21

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Solution

The fourth proportional to 259.36, 356.87 and 253.21 is: 348.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.36 : 356.87 = 253.21 : x
  2. Step 2: Convert to fraction form
    259.36/356.87 = 253.21/x
  3. Step 3: Cross multiply
    259.36x = 356.87 × 253.21
  4. Step 4: Simplify right side
    259.36x = 90,360.89
  5. Step 5: Solve for x
    x = 90,360.89/259.36
  6. Step 6: Final answer
    x = 348.40

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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.