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Finding the Fourth Proportional to 259.14, 390.88 and 244.16

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Solution

The fourth proportional to 259.14, 390.88 and 244.16 is: 368.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.14 : 390.88 = 244.16 : x
  2. Step 2: Convert to fraction form
    259.14/390.88 = 244.16/x
  3. Step 3: Cross multiply
    259.14x = 390.88 × 244.16
  4. Step 4: Simplify right side
    259.14x = 95,437.26
  5. Step 5: Solve for x
    x = 95,437.26/259.14
  6. Step 6: Final answer
    x = 368.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.