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Finding the Fourth Proportional to 341.19, 509.72 and 272.88

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Solution

The fourth proportional to 341.19, 509.72 and 272.88 is: 407.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.19 : 509.72 = 272.88 : x
  2. Step 2: Convert to fraction form
    341.19/509.72 = 272.88/x
  3. Step 3: Cross multiply
    341.19x = 509.72 × 272.88
  4. Step 4: Simplify right side
    341.19x = 139,091.03
  5. Step 5: Solve for x
    x = 139,091.03/341.19
  6. Step 6: Final answer
    x = 407.66

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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.