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Finding the Fourth Proportional to 379.77, 524.32 and 309.99

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Solution

The fourth proportional to 379.77, 524.32 and 309.99 is: 427.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.77 : 524.32 = 309.99 : x
  2. Step 2: Convert to fraction form
    379.77/524.32 = 309.99/x
  3. Step 3: Cross multiply
    379.77x = 524.32 × 309.99
  4. Step 4: Simplify right side
    379.77x = 162,533.96
  5. Step 5: Solve for x
    x = 162,533.96/379.77
  6. Step 6: Final answer
    x = 427.98

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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.