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Finding the Fourth Proportional to 465.35, 642.02 and 278.87

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Solution

The fourth proportional to 465.35, 642.02 and 278.87 is: 384.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.35 : 642.02 = 278.87 : x
  2. Step 2: Convert to fraction form
    465.35/642.02 = 278.87/x
  3. Step 3: Cross multiply
    465.35x = 642.02 × 278.87
  4. Step 4: Simplify right side
    465.35x = 179,035.51
  5. Step 5: Solve for x
    x = 179,035.51/465.35
  6. Step 6: Final answer
    x = 384.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.