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Finding the Fourth Proportional to 401.98, 555.34 and 309.10

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Solution

The fourth proportional to 401.98, 555.34 and 309.10 is: 427.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.98 : 555.34 = 309.10 : x
  2. Step 2: Convert to fraction form
    401.98/555.34 = 309.10/x
  3. Step 3: Cross multiply
    401.98x = 555.34 × 309.10
  4. Step 4: Simplify right side
    401.98x = 171,655.59
  5. Step 5: Solve for x
    x = 171,655.59/401.98
  6. Step 6: Final answer
    x = 427.03

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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.