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Finding the Fourth Proportional to 403.02, 556.17 and 278.67

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Solution

The fourth proportional to 403.02, 556.17 and 278.67 is: 384.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.02 : 556.17 = 278.67 : x
  2. Step 2: Convert to fraction form
    403.02/556.17 = 278.67/x
  3. Step 3: Cross multiply
    403.02x = 556.17 × 278.67
  4. Step 4: Simplify right side
    403.02x = 154,987.89
  5. Step 5: Solve for x
    x = 154,987.89/403.02
  6. Step 6: Final answer
    x = 384.57

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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.