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Finding the Fourth Proportional to 384.53, 578.88 and 350.51

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Solution

The fourth proportional to 384.53, 578.88 and 350.51 is: 527.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.53 : 578.88 = 350.51 : x
  2. Step 2: Convert to fraction form
    384.53/578.88 = 350.51/x
  3. Step 3: Cross multiply
    384.53x = 578.88 × 350.51
  4. Step 4: Simplify right side
    384.53x = 202,903.23
  5. Step 5: Solve for x
    x = 202,903.23/384.53
  6. Step 6: Final answer
    x = 527.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.