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Finding the Fourth Proportional to 350.56, 522.77 and 307.48

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Solution

The fourth proportional to 350.56, 522.77 and 307.48 is: 458.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.56 : 522.77 = 307.48 : x
  2. Step 2: Convert to fraction form
    350.56/522.77 = 307.48/x
  3. Step 3: Cross multiply
    350.56x = 522.77 × 307.48
  4. Step 4: Simplify right side
    350.56x = 160,741.32
  5. Step 5: Solve for x
    x = 160,741.32/350.56
  6. Step 6: Final answer
    x = 458.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.