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Finding the Fourth Proportional to 347.60, 524.40 and 330.53

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Solution

The fourth proportional to 347.60, 524.40 and 330.53 is: 498.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.60 : 524.40 = 330.53 : x
  2. Step 2: Convert to fraction form
    347.60/524.40 = 330.53/x
  3. Step 3: Cross multiply
    347.60x = 524.40 × 330.53
  4. Step 4: Simplify right side
    347.60x = 173,327.31
  5. Step 5: Solve for x
    x = 173,327.31/347.60
  6. Step 6: Final answer
    x = 498.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.