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Finding the Fourth Proportional to 350.59, 526.49 and 311.64

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Solution

The fourth proportional to 350.59, 526.49 and 311.64 is: 468.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.59 : 526.49 = 311.64 : x
  2. Step 2: Convert to fraction form
    350.59/526.49 = 311.64/x
  3. Step 3: Cross multiply
    350.59x = 526.49 × 311.64
  4. Step 4: Simplify right side
    350.59x = 164,075.34
  5. Step 5: Solve for x
    x = 164,075.34/350.59
  6. Step 6: Final answer
    x = 468.00

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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.