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Finding the Fourth Proportional to 390.66, 583.12 and 358.20

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Solution

The fourth proportional to 390.66, 583.12 and 358.20 is: 534.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.66 : 583.12 = 358.20 : x
  2. Step 2: Convert to fraction form
    390.66/583.12 = 358.20/x
  3. Step 3: Cross multiply
    390.66x = 583.12 × 358.20
  4. Step 4: Simplify right side
    390.66x = 208,873.58
  5. Step 5: Solve for x
    x = 208,873.58/390.66
  6. Step 6: Final answer
    x = 534.67

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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.