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Finding the Fourth Proportional to 259.08, 386.13 and 210.12

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Solution

The fourth proportional to 259.08, 386.13 and 210.12 is: 313.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.08 : 386.13 = 210.12 : x
  2. Step 2: Convert to fraction form
    259.08/386.13 = 210.12/x
  3. Step 3: Cross multiply
    259.08x = 386.13 × 210.12
  4. Step 4: Simplify right side
    259.08x = 81,133.64
  5. Step 5: Solve for x
    x = 81,133.64/259.08
  6. Step 6: Final answer
    x = 313.16

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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.