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Finding the Fourth Proportional to 907.40, 1,360.78 and 257.96

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Solution

The fourth proportional to 907.40, 1,360.78 and 257.96 is: 386.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.40 : 1,360.78 = 257.96 : x
  2. Step 2: Convert to fraction form
    907.40/1,360.78 = 257.96/x
  3. Step 3: Cross multiply
    907.40x = 1,360.78 × 257.96
  4. Step 4: Simplify right side
    907.40x = 351,026.81
  5. Step 5: Solve for x
    x = 351,026.81/907.40
  6. Step 6: Final answer
    x = 386.85

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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.