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Finding the Fourth Proportional to 281.04, 390.53 and 278.07

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Solution

The fourth proportional to 281.04, 390.53 and 278.07 is: 386.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.04 : 390.53 = 278.07 : x
  2. Step 2: Convert to fraction form
    281.04/390.53 = 278.07/x
  3. Step 3: Cross multiply
    281.04x = 390.53 × 278.07
  4. Step 4: Simplify right side
    281.04x = 108,593.29
  5. Step 5: Solve for x
    x = 108,593.29/281.04
  6. Step 6: Final answer
    x = 386.40

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.