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Finding the Fourth Proportional to 384.55, 526.69 and 362.10

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Solution

The fourth proportional to 384.55, 526.69 and 362.10 is: 495.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.55 : 526.69 = 362.10 : x
  2. Step 2: Convert to fraction form
    384.55/526.69 = 362.10/x
  3. Step 3: Cross multiply
    384.55x = 526.69 × 362.10
  4. Step 4: Simplify right side
    384.55x = 190,714.45
  5. Step 5: Solve for x
    x = 190,714.45/384.55
  6. Step 6: Final answer
    x = 495.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.