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Finding the Fourth Proportional to 259.13, 390.47 and 214.48

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Solution

The fourth proportional to 259.13, 390.47 and 214.48 is: 323.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.13 : 390.47 = 214.48 : x
  2. Step 2: Convert to fraction form
    259.13/390.47 = 214.48/x
  3. Step 3: Cross multiply
    259.13x = 390.47 × 214.48
  4. Step 4: Simplify right side
    259.13x = 83,746.05
  5. Step 5: Solve for x
    x = 83,746.05/259.13
  6. Step 6: Final answer
    x = 323.19

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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.