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Finding the Fourth Proportional to 346.02, 477.62 and 222.02

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Solution

The fourth proportional to 346.02, 477.62 and 222.02 is: 306.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.02 : 477.62 = 222.02 : x
  2. Step 2: Convert to fraction form
    346.02/477.62 = 222.02/x
  3. Step 3: Cross multiply
    346.02x = 477.62 × 222.02
  4. Step 4: Simplify right side
    346.02x = 106,037.69
  5. Step 5: Solve for x
    x = 106,037.69/346.02
  6. Step 6: Final answer
    x = 306.45

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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.