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Finding the Fourth Proportional to 346.34, 477.27 and 312.78

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Solution

The fourth proportional to 346.34, 477.27 and 312.78 is: 431.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.34 : 477.27 = 312.78 : x
  2. Step 2: Convert to fraction form
    346.34/477.27 = 312.78/x
  3. Step 3: Cross multiply
    346.34x = 477.27 × 312.78
  4. Step 4: Simplify right side
    346.34x = 149,280.51
  5. Step 5: Solve for x
    x = 149,280.51/346.34
  6. Step 6: Final answer
    x = 431.03

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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.