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Finding the Fourth Proportional to 259.36, 386.19 and 258.16

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Solution

The fourth proportional to 259.36, 386.19 and 258.16 is: 384.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.36 : 386.19 = 258.16 : x
  2. Step 2: Convert to fraction form
    259.36/386.19 = 258.16/x
  3. Step 3: Cross multiply
    259.36x = 386.19 × 258.16
  4. Step 4: Simplify right side
    259.36x = 99,698.81
  5. Step 5: Solve for x
    x = 99,698.81/259.36
  6. Step 6: Final answer
    x = 384.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.