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Finding the Fourth Proportional to 506.55, 699.06 and 310

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Solution

The fourth proportional to 506.55, 699.06 and 310 is: 427.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.55 : 699.06 = 310 : x
  2. Step 2: Convert to fraction form
    506.55/699.06 = 310/x
  3. Step 3: Cross multiply
    506.55x = 699.06 × 310
  4. Step 4: Simplify right side
    506.55x = 216,708.60
  5. Step 5: Solve for x
    x = 216,708.60/506.55
  6. Step 6: Final answer
    x = 427.81

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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.