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Finding the Fourth Proportional to 345.60, 475.74 and 332.10

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Solution

The fourth proportional to 345.60, 475.74 and 332.10 is: 457.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.60 : 475.74 = 332.10 : x
  2. Step 2: Convert to fraction form
    345.60/475.74 = 332.10/x
  3. Step 3: Cross multiply
    345.60x = 475.74 × 332.10
  4. Step 4: Simplify right side
    345.60x = 157,993.25
  5. Step 5: Solve for x
    x = 157,993.25/345.60
  6. Step 6: Final answer
    x = 457.16

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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.