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Finding the Fourth Proportional to 278.36, 384.10 and 154.01

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Solution

The fourth proportional to 278.36, 384.10 and 154.01 is: 212.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.36 : 384.10 = 154.01 : x
  2. Step 2: Convert to fraction form
    278.36/384.10 = 154.01/x
  3. Step 3: Cross multiply
    278.36x = 384.10 × 154.01
  4. Step 4: Simplify right side
    278.36x = 59,154.47
  5. Step 5: Solve for x
    x = 59,154.47/278.36
  6. Step 6: Final answer
    x = 212.51

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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.