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Finding the Fourth Proportional to 364.92, 549.93 and 311.52

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Solution

The fourth proportional to 364.92, 549.93 and 311.52 is: 469.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.92 : 549.93 = 311.52 : x
  2. Step 2: Convert to fraction form
    364.92/549.93 = 311.52/x
  3. Step 3: Cross multiply
    364.92x = 549.93 × 311.52
  4. Step 4: Simplify right side
    364.92x = 171,314.19
  5. Step 5: Solve for x
    x = 171,314.19/364.92
  6. Step 6: Final answer
    x = 469.46

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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.