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Finding the Fourth Proportional to 419.76, 578.16 and 332.64

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Solution

The fourth proportional to 419.76, 578.16 and 332.64 is: 458.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.76 : 578.16 = 332.64 : x
  2. Step 2: Convert to fraction form
    419.76/578.16 = 332.64/x
  3. Step 3: Cross multiply
    419.76x = 578.16 × 332.64
  4. Step 4: Simplify right side
    419.76x = 192,319.14
  5. Step 5: Solve for x
    x = 192,319.14/419.76
  6. Step 6: Final answer
    x = 458.16

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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.