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Finding the Fourth Proportional to 410.32, 612.64 and 352.46

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Solution

The fourth proportional to 410.32, 612.64 and 352.46 is: 526.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.32 : 612.64 = 352.46 : x
  2. Step 2: Convert to fraction form
    410.32/612.64 = 352.46/x
  3. Step 3: Cross multiply
    410.32x = 612.64 × 352.46
  4. Step 4: Simplify right side
    410.32x = 215,931.09
  5. Step 5: Solve for x
    x = 215,931.09/410.32
  6. Step 6: Final answer
    x = 526.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.