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Finding the Fourth Proportional to 908.19, 1,362.29 and 258.93

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Solution

The fourth proportional to 908.19, 1,362.29 and 258.93 is: 388.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.19 : 1,362.29 = 258.93 : x
  2. Step 2: Convert to fraction form
    908.19/1,362.29 = 258.93/x
  3. Step 3: Cross multiply
    908.19x = 1,362.29 × 258.93
  4. Step 4: Simplify right side
    908.19x = 352,736.46
  5. Step 5: Solve for x
    x = 352,736.46/908.19
  6. Step 6: Final answer
    x = 388.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.