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Finding the Fourth Proportional to 350.40, 524.40 and 307.20

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Solution

The fourth proportional to 350.40, 524.40 and 307.20 is: 459.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.40 : 524.40 = 307.20 : x
  2. Step 2: Convert to fraction form
    350.40/524.40 = 307.20/x
  3. Step 3: Cross multiply
    350.40x = 524.40 × 307.20
  4. Step 4: Simplify right side
    350.40x = 161,095.68
  5. Step 5: Solve for x
    x = 161,095.68/350.40
  6. Step 6: Final answer
    x = 459.75

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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.