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Finding the Fourth Proportional to 405.42, 607.05 and 297.42

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Solution

The fourth proportional to 405.42, 607.05 and 297.42 is: 445.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.42 : 607.05 = 297.42 : x
  2. Step 2: Convert to fraction form
    405.42/607.05 = 297.42/x
  3. Step 3: Cross multiply
    405.42x = 607.05 × 297.42
  4. Step 4: Simplify right side
    405.42x = 180,548.81
  5. Step 5: Solve for x
    x = 180,548.81/405.42
  6. Step 6: Final answer
    x = 445.34

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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.