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Finding the Fourth Proportional to 340.13, 509.84 and 310.06

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Solution

The fourth proportional to 340.13, 509.84 and 310.06 is: 464.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.13 : 509.84 = 310.06 : x
  2. Step 2: Convert to fraction form
    340.13/509.84 = 310.06/x
  3. Step 3: Cross multiply
    340.13x = 509.84 × 310.06
  4. Step 4: Simplify right side
    340.13x = 158,082.98
  5. Step 5: Solve for x
    x = 158,082.98/340.13
  6. Step 6: Final answer
    x = 464.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.