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Finding the Fourth Proportional to 368.32, 549.61 and 345.02

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Solution

The fourth proportional to 368.32, 549.61 and 345.02 is: 514.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.32 : 549.61 = 345.02 : x
  2. Step 2: Convert to fraction form
    368.32/549.61 = 345.02/x
  3. Step 3: Cross multiply
    368.32x = 549.61 × 345.02
  4. Step 4: Simplify right side
    368.32x = 189,626.44
  5. Step 5: Solve for x
    x = 189,626.44/368.32
  6. Step 6: Final answer
    x = 514.84

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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.