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Finding the Fourth Proportional to 259.24, 390.63 and 214.59

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Solution

The fourth proportional to 259.24, 390.63 and 214.59 is: 323.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.24 : 390.63 = 214.59 : x
  2. Step 2: Convert to fraction form
    259.24/390.63 = 214.59/x
  3. Step 3: Cross multiply
    259.24x = 390.63 × 214.59
  4. Step 4: Simplify right side
    259.24x = 83,823.34
  5. Step 5: Solve for x
    x = 83,823.34/259.24
  6. Step 6: Final answer
    x = 323.35

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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.