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Finding the Fourth Proportional to 258.83, 389.98 and 214.18

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Solution

The fourth proportional to 258.83, 389.98 and 214.18 is: 322.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.83 : 389.98 = 214.18 : x
  2. Step 2: Convert to fraction form
    258.83/389.98 = 214.18/x
  3. Step 3: Cross multiply
    258.83x = 389.98 × 214.18
  4. Step 4: Simplify right side
    258.83x = 83,525.21
  5. Step 5: Solve for x
    x = 83,525.21/258.83
  6. Step 6: Final answer
    x = 322.70

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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.