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Finding the Fourth Proportional to 368.61, 508.53 and 221.14

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Solution

The fourth proportional to 368.61, 508.53 and 221.14 is: 305.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.61 : 508.53 = 221.14 : x
  2. Step 2: Convert to fraction form
    368.61/508.53 = 221.14/x
  3. Step 3: Cross multiply
    368.61x = 508.53 × 221.14
  4. Step 4: Simplify right side
    368.61x = 112,456.32
  5. Step 5: Solve for x
    x = 112,456.32/368.61
  6. Step 6: Final answer
    x = 305.08

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Why These Related Problems?

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