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Finding the Fourth Proportional to 341.58, 509.87 and 312.72

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Solution

The fourth proportional to 341.58, 509.87 and 312.72 is: 466.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.58 : 509.87 = 312.72 : x
  2. Step 2: Convert to fraction form
    341.58/509.87 = 312.72/x
  3. Step 3: Cross multiply
    341.58x = 509.87 × 312.72
  4. Step 4: Simplify right side
    341.58x = 159,446.55
  5. Step 5: Solve for x
    x = 159,446.55/341.58
  6. Step 6: Final answer
    x = 466.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.