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Finding the Fourth Proportional to 364.90, 546.54 and 319.54

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Solution

The fourth proportional to 364.90, 546.54 and 319.54 is: 478.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.90 : 546.54 = 319.54 : x
  2. Step 2: Convert to fraction form
    364.90/546.54 = 319.54/x
  3. Step 3: Cross multiply
    364.90x = 546.54 × 319.54
  4. Step 4: Simplify right side
    364.90x = 174,641.39
  5. Step 5: Solve for x
    x = 174,641.39/364.90
  6. Step 6: Final answer
    x = 478.60

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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.