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Finding the Fourth Proportional to 346.63, 477.98 and 301.98

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Solution

The fourth proportional to 346.63, 477.98 and 301.98 is: 416.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.63 : 477.98 = 301.98 : x
  2. Step 2: Convert to fraction form
    346.63/477.98 = 301.98/x
  3. Step 3: Cross multiply
    346.63x = 477.98 × 301.98
  4. Step 4: Simplify right side
    346.63x = 144,341.25
  5. Step 5: Solve for x
    x = 144,341.25/346.63
  6. Step 6: Final answer
    x = 416.42

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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.