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Finding the Fourth Proportional to 349.93, 524.35 and 309.84

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Solution

The fourth proportional to 349.93, 524.35 and 309.84 is: 464.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.93 : 524.35 = 309.84 : x
  2. Step 2: Convert to fraction form
    349.93/524.35 = 309.84/x
  3. Step 3: Cross multiply
    349.93x = 524.35 × 309.84
  4. Step 4: Simplify right side
    349.93x = 162,464.60
  5. Step 5: Solve for x
    x = 162,464.60/349.93
  6. Step 6: Final answer
    x = 464.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.