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Finding the Fourth Proportional to 403.04, 555.85 and 309.76

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Solution

The fourth proportional to 403.04, 555.85 and 309.76 is: 427.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.04 : 555.85 = 309.76 : x
  2. Step 2: Convert to fraction form
    403.04/555.85 = 309.76/x
  3. Step 3: Cross multiply
    403.04x = 555.85 × 309.76
  4. Step 4: Simplify right side
    403.04x = 172,180.10
  5. Step 5: Solve for x
    x = 172,180.10/403.04
  6. Step 6: Final answer
    x = 427.20

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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.