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Finding the Fourth Proportional to 440.42, 607.20 and 378.91

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Solution

The fourth proportional to 440.42, 607.20 and 378.91 is: 522.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.42 : 607.20 = 378.91 : x
  2. Step 2: Convert to fraction form
    440.42/607.20 = 378.91/x
  3. Step 3: Cross multiply
    440.42x = 607.20 × 378.91
  4. Step 4: Simplify right side
    440.42x = 230,075.10
  5. Step 5: Solve for x
    x = 230,075.10/440.42
  6. Step 6: Final answer
    x = 522.40

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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.