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Finding the Fourth Proportional to 368.40, 508.28 and 213.16

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Solution

The fourth proportional to 368.40, 508.28 and 213.16 is: 294.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.40 : 508.28 = 213.16 : x
  2. Step 2: Convert to fraction form
    368.40/508.28 = 213.16/x
  3. Step 3: Cross multiply
    368.40x = 508.28 × 213.16
  4. Step 4: Simplify right side
    368.40x = 108,344.96
  5. Step 5: Solve for x
    x = 108,344.96/368.40
  6. Step 6: Final answer
    x = 294.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.